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14100641028 = 2234311403887
BaseRepresentation
bin11010010000111011…
…01011010100000100
31100101200211210010000
431020131223110010
5212334231003103
610251105401300
71006266320415
oct151035532404
940350753100
1014100641028
115a86498341
122896339230
131439418396
1497a9d380c
15577db2aa3
hex34876b504

14100641028 has 60 divisors (see below), whose sum is σ = 38050980352. Its totient is φ = 4548590640.

The previous prime is 14100641021. The next prime is 14100641039. The reversal of 14100641028 is 82014600141.

It is a happy number.

14100641028 is a `hidden beast` number, since 1 + 4 + 10 + 0 + 641 + 0 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14100640992 and 14100641010.

It is not an unprimeable number, because it can be changed into a prime (14100641021) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 691900 + ... + 711987.

Almost surely, 214100641028 is an apocalyptic number.

14100641028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14100641028 is an abundant number, since it is smaller than the sum of its proper divisors (23950339324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14100641028 is a wasteful number, since it uses less digits than its factorization.

14100641028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403934 (or 1403923 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 14100641028 in words is "fourteen billion, one hundred million, six hundred forty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1674 2511 3348 5022 10044 1403887 2807774 4211661 5615548 8423322 12634983 16846644 25269966 37904949 43520497 50539932 75809898 87040994 113714847 130561491 151619796 174081988 227429694 261122982 391684473 454859388 522245964 783368946 1175053419 1566737892 2350106838 3525160257 4700213676 7050320514 14100641028